Mathematics
Top 30 by viewsPractise the most important Class 10th Mathematics MCQs. Pick an option to instantly see whether you got it right — covering the high-weightage, frequently asked topics for your exams.
Q1. For what value of k do the equations 2x + 3y = 4 and (k+2)x + 6y = 3k+2 have infinitely many solutions?
- A. k = 2
- B. k = 4
- C. k = 0
- D. k = 1
Q2. A taxi charge in a city consists of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 75. For a journey of 15 km, the charge paid is Rs 110. What is the fixed charge?
- A. Rs 5
- B. Rs 10
- C. Rs 15
- D. Rs 20
Q3. A class interval 10-20 (inclusive) means:
- A. Values from 10 up to, but not including, 20
- B. Values from 10 including 20
- C. Values from 10 to 20, including both
- D. Only 10 and 20
Q4. If the point (2, 1) is the solution of the equations 2x + 3y = k and 3x - 2y = 4, find the value of k.
Q5. For a pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, to have a unique solution, the condition is:
- A. a1/a2 = b1/b2 = c1/c2
- B. a1/a2 = b1/b2 != c1/c2
- C. a1/a2 != b1/b2
- D. a1/a2 = c1/c2
Q6. A bar graph where the bars can be separated is for:
- A. Continuous data
- B. Discrete data
- C. Qualitative data
- D. Both B and C
Q7. The number of classes in a frequency distribution should ideally be between:
- A. 1 and 3
- B. 5 and 15
- C. 20 and 30
- D. 30 and 50
Q8. Which of the following ordered pairs (x, y) is a solution to the equation 3x - 2y = 10?
- A. (2, -2)
- B. (-2, 2)
- C. (4, 1)
- D. (1, 4)
Q9. The line 3x + 4y = 12 intersects the x-axis at:
- A. (0, 3)
- B. (4, 0)
- C. (3, 0)
- D. (0, 4)
Q10. How many solutions does the pair of equations x + y = 10 and x + y = 20 have?
- A. One
- B. Two
- C. Infinitely many
- D. No solution
Q11. Solve the system: x + y = 5 and x - y = 1.
- A. x = 3, y = 2
- B. x = 2, y = 3
- C. x = 4, y = 1
- D. x = 1, y = 4
Q12. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are
- A. 2, 3, 4
- B. 2, 4, 6
- C. 1, 4, 6
- D. 2, 7, 0
Q13. Solve the system: 2x + 3y = 7 and 3x - 2y = 4.
- A. x = 1, y = 2
- B. x = 2, y = 1
- C. x = 2, y = -1
- D. x = -1, y = 2
Q14. An equation of the form y = b, where 'b' is a constant, represents a line:
- A. Parallel to the x-axis.
- B. Parallel to the y-axis.
- C. Passing through the origin.
- D. Having a negative slope.
Q15. Which statement is true about the mode?
- A. It is unique for every data set.
- B. It is suitable for all types of data.
- C. It is not affected by extreme values.
- D. It is always the middle value.
Q16. The graph of y = 3 is a line:
- A. Parallel to the x-axis.
- B. Parallel to the y-axis.
- C. Passing through the origin.
- D. Having a slope of 3.
Q17. A system of linear equations is said to be consistent if it has:
- A. No solution.
- B. Exactly one solution.
- C. Infinitely many solutions.
- D. At least one solution.
Q18. The equations 1/x + 1/y = 5 and 1/x - 1/y = 1 can be converted to linear equations by substituting:
- A. u = x, v = y
- B. u = 1/x, v = 1/y
- C. u = xy, v = x/y
- D. u = x+y, v = x-y
Q19. The sum of the first five multiples of 3 is:
Q20. The frequency density is used when:
- A. Class intervals are equal
- B. Class intervals are unequal
- C. Data is ungrouped
- D. Data is qualitative
Q21. A ladder has rungs placed at equal distances. If the first rung is at 15 cm and the last at 120 cm, with 10 rungs, find the distance between two consecutive rungs.
Q22. If a pair of linear equations has a unique solution, what does its graph look like?
- A. The lines are parallel.
- B. The lines are coincident.
- C. The lines intersect at a single point.
- D. The lines do not exist.
Q23. If x = a, y = b is the solution of the system of equations 2x - 3y = 1 and 4x + y = 9, find a + b.
Q24. The product of HCF and LCM of 60,84 and 108 is
- A. 55360
- B. 55390
- C. 78902
- D. 45360
Q25. For what value of k do the equations kx - 2y = 3 and 3x + y = 5 have a unique solution?
- A. k = -6
- B. k != -6
- C. k = 6
- D. k != 6
Q26. The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area increases by 67 square units. Find the length and breadth of the rectangle.
- A. Length = 17, Breadth = 9
- B. Length = 9, Breadth = 17
- C. Length = 15, Breadth = 8
- D. Length = 12, Breadth = 10
Q27. Which of the following equations is NOT a linear equation in two variables?
- A. 2x + 3y = 0
- B. 5x = 7y
- C. x/2 + y/3 = 1
- D. 1/x + 1/y = 4
Q28. The range of the data set 2, 9, 3, 8, 5, 10 is:
Q29. The sum of all two digit odd numbers is
- A. 2475
- B. 2455
- C. 3475
- D. 2470
Q30. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. Find the speed of the stream.
- A. 2 km/hr
- B. 3 km/hr
- C. 4 km/hr
- D. 5 km/hr
Science
Top 30 by viewsPractise the most important Class 10th Science MCQs. Pick an option to instantly see whether you got it right — covering the high-weightage, frequently asked topics for your exams.
Q1. The main function of the human brain is to:
- A. Control all body functions
- B. Digest food
- C. Circulate blood
- D. Produce hormones
Q2. What is the general direction of nerve impulse transmission within a neuron?
- A. Axon -> Dendrite -> Cell body
- B. Cell body -> Axon -> Dendrite
- C. Dendrite -> Cell body -> Axon
- D. Axon -> Cell body -> Dendrite
Q3. Which plant hormone is primarily responsible for stem elongation and seed germination?
- A. Auxin
- B. Gibberellin
- C. Cytokinin
- D. Abscisic acid
Q4. What is the function of cerebrospinal fluid?
- A. To transport nutrients to the brain and spinal cord
- B. To remove waste products from the brain and spinal cord
- C. To provide cushioning and protection to the brain and spinal cord
- D. All of the above
Q5. Which part of the brain is the main control center for vision?
- A. Frontal lobe
- B. Parietal lobe
- C. Temporal lobe
- D. Occipital lobe
Q6. The condition characterized by abnormally high growth due to excess growth hormone is called:
- A. Dwarfism
- B. Gigantism
- C. Goitre
- D. Diabetes
Q7. A condition characterized by protruding eyes, weight loss, and increased metabolism is due to the overactivity of which gland?
- A. Pituitary
- B. Thyroid
- C. Adrenal
- D. Pancreas
Q8. The role of effectors in the nervous system is to:
- A. Detect stimuli
- B. Transmit signals to the brain
- C. Respond to stimuli
- D. Produce neurotransmitters
Q9. What happens at the synapse?
- A. Electrical signals are converted into chemical signals and then back to electrical signals.
- B. Only electrical signals are transmitted.
- C. Only chemical signals are transmitted.
- D. Signals are amplified.
Q10. What protects the brain from physical shocks?
- A. Rib cage
- B. Vertebral column
- C. Cranium and cerebrospinal fluid
- D. Pelvic girdle
Q11. The hunger and thirst centers in the brain are located in the:
- A. Cerebellum
- B. Hypothalamus
- C. Medulla
- D. Pons
Q12. The growth of pollen tubes towards the ovules is an example of:
- A. Hydrotropism
- B. Thigmotropism
- C. Chemotropism
- D. Phototropism
Q13. If the optic nerve is damaged, which sensation will be affected?
- A. Hearing
- B. Smell
- C. Taste
- D. Vision
Q14. The primary difference between a reflex action and walking is that reflex action is:
- A. Controlled by the cerebrum, while walking is not.
- B. Involuntary, while walking is voluntary.
- C. A slow response, while walking is fast.
- D. Unique to humans, while walking is common.
Q15. The part of the neuron that receives information from other neurons is the:
- A. Axon
- B. Dendrite
- C. Cell body
- D. Myelin sheath
Q16. The main function of the hypothalamus is to:
- A. Control voluntary movements
- B. Regulate body temperature, hunger, and thirst
- C. Process sensory information
- D. Coordinate balance and posture
Q17. The chemical messengers secreted by endocrine glands are called:
- A. Enzymes
- B. Hormones
- C. Antibodies
- D. Neurotransmitters
Q18. If a person has low levels of growth hormone in childhood, they may suffer from:
- A. Goitre
- B. Diabetes
- C. Dwarfism
- D. Gigantism
Q19. Which plant hormone delays the aging of leaves?
- A. Auxin
- B. Gibberellin
- C. Cytokinin
- D. Abscisic acid
Q20. The pancreas secretes:
- A. Growth hormone and Thyroxine
- B. Adrenaline and Estrogen
- C. Insulin and Glucagon
- D. Testosterone and Progesterone
Q21. The growth of tendrils around a support is an example of:
- A. Phototropism
- B. Geotropism
- C. Hydrotropism
- D. Thigmotropism
Q22. Which part of the brain controls involuntary actions like breathing, heartbeat, and blood pressure?
- A. Cerebrum
- B. Cerebellum
- C. Medulla oblongata
- D. Hypothalamus
Q23. The ability of living organisms to respond to stimuli is called:
- A. Metabolism
- B. Respiration
- C. Irritability
- D. Excretion
Q24. Which part of the neuron receives information?
- A. Axon
- B. Dendrite
- C. Cell body
- D. Nerve ending
Q25. The quick, spontaneous, and involuntary response to a stimulus is called a:
- A. Voluntary action
- B. Conditioned reflex
- C. Reflex action
- D. Memory recall
Q26. Which plant hormone promotes cell elongation and is responsible for phototropism?
- A. Gibberellin
- B. Cytokinin
- C. Auxin
- D. Abscisic acid
Q27. A nerve impulse is essentially a flow of:
- A. Chemical substances
- B. Electrical signals
- C. Hormones
- D. Magnetic waves
Q28. A plant's root generally shows:
- A. Positive geotropism and positive phototropism
- B. Negative geotropism and positive phototropism
- C. Positive geotropism and negative phototropism
- D. Negative geotropism and negative phototropism
Q29. The functional unit of the nervous system is the:
- A. Nephron
- B. Alveolus
- C. Neuron
- D. Sarcomere
Q30. The structure of the brain that connects the two cerebral hemispheres is the:
- A. Corpus callosum
- B. Thalamus
- C. Pons
- D. Medulla